Rozwiąż równania:
a). 2x = 12
b). -3x = 18
c). 2 1/2x = 10
d). 5x = 75
e). 24x = 120
f). 1/3x = 27
g). -2/5x=10
h). -3/4x = 12
i). -2 1/3x = 8/14
j). -3/2x = 9


Odpowiedź :

a)

[tex]2x = 12 \ /:2\\\\x = 6[/tex]

b)

[tex]-3x = 18 \ \ /:(-3)\\\\x = -6[/tex]

c)

[tex]2\frac{1}{2}x = 10\\\\\frac{5}{2}x = 10 \ \ /\cdot\frac{2}{5}\\\\x = 4[/tex]

d)

[tex]5x = 75 \ \ /:5\\\\x = 15[/tex]

e)

[tex]24x = 120 \ \ /:24\\\\x = 5[/tex]

f)

[tex]\frac{1}{3}x = 27 \ \ /\cdot3\\\\x = 81[/tex]

g)

[tex]-\frac{2}{5}x = 10 \ \ /\cdot(-\frac{5}{2})\\\\x = -25[/tex]

h)

[tex]-\frac{3}{4}x = 12 \ \ /\cdot(-\frac{4}{3})\\\\x = -16[/tex]

i)

[tex]-2\frac{1}{3}x = \frac{8}{14}\\\\-\frac{7}{3}x = \frac{4}{7} \ \ /\cdot(-\frac{3}{7})\\\\x = -\frac{12}{49}[/tex]

j)

[tex]-\frac{3}{2}x = 9 \ \ /\cdot(-\frac{2}{3})\\\\x = -6[/tex]

Odpowiedź:

a) 2x = 12 II:2

x = 6

b) -3x = 18 II:(-3)

x = -7

c)

[tex]2 \frac{1}{2}x = 10 \\ \frac{5}{2}x = 10 \: \: || \times 2 \\ 5x = 20 || \div5 \\ x = 4[/tex]

d) 5x = 75 II:5

x = 15

e) 24x = 120 II:24

x = 5

f)

[tex]\frac{1}{3} x = 27 || \times 3 \\ x = 81

\\ g)

- \frac{2}{5} x = 10 || \times 5 \\ - 2x = 50 || \div ( - 2) \\ x = - 25 \\

h)

- \frac{ 3}{4} x = 12 || \times 4 \\ - 3x = 48 || \div ( - 3) \\ x = - 16[/tex]

i)

[tex] - 2\frac{1}{3} x = \frac{8}{14} \\ - \frac{7}{3} x = \frac{8}{14} || \times ( - \frac{3}{7} ) \\ x = - \frac{24}{98} [/tex]

j)

[tex] - \frac{3}{2} x = 9 \\ - 1.5x = 9 || \div ( - 1.5) \\ x = - 6[/tex]